The degree of a polynomial is categorized by its highest power of its leading variable.
Degree and number of terms of a polynomial
Given the following polynomial functions, we are to classify them based on their degrees and the number of terms
For the polynomial function 5x^4 - 7x + 9
The degree is 4 being quartic and there are three terms in the expression
For the polynomial 2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.
For a Quintic quadnomial, the degree of the polynomial is 5.
Learn more on polynomials here: https://brainly.com/question/4142886
x^2-8x+16=3 solve using square roots
Answer:
x = 4 ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
x² - 8x + 16 = 3 ← the left side is a perfect square
(x - 4)² = 3 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{3}[/tex]
The sum of the squares of the odd integers between 0 and 100.
Using summation notation
Answer:
166,649.
Step-by-step explanation:
49
∑ (2n + 1)^2 = 4∑n^2 + 4∑n + 49
0
= (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49
= 2/3 * 49* 50 *99 + 2*49*50 + 49
= 161700 + 4900 + 49
= 166649
Use DeMoivre's Theorem to find the square roots of 4(cos90+ i sin 90). Show your work.
Answer:
Procedure 6.3. 1:Finding Roots of a Complex Number
Express both z and w in polar form z=reiθ,w=seiϕ. ...
Solve the following two equations: rn=s. ...
The solutions to rn=s are given by r=n√s.
The solutions to einθ=eiϕ are given by: nθ=ϕ+2πℓ,forℓ=0,1,2,⋯,n−1. ...
Using the solutions r,θ to the equations given in (6.3.
Step-by-step explanation:
Answer:-1.79229446 + 3.57598665 i
Step-by-step explanation:
I will honest this how much I can help you
What is the purpose of the QUADRATIC FORMULA?
N
A Determine the distance between two points
B Determine the zeros of a quadratic function
Calculate the axis of symmetry of a quadratic function
Calculate the y-coordinate of the vertex of a parabola
Can someone help me please, its for plato algebra 2-1
Answer:
5
Step-by-step explanation:
Simplification:
[tex]\sqrt{2^3-7} + |-4|[/tex]
[tex]\sqrt{1} + 4[/tex]
1 + 4
5
Solving systems of linear equations by substitution y= 2x-1 y = 3x +2
Answer:
(x,y)=(-3,-7)
Step-by-step explanation:
step 1
y=2x-1
y=3x+2
=
2x-1=3x+2
Which expression represents the area of the base of the pyramid? startfraction 3 v over h endfraction units2 (3v – h) units2 (v – 3h) units2 startfraction v over 3 h endfraction units2
The expression that represents the area of the base of the pyramid(right pyramid) is given by: Option A: 3v/h unit²
What is a right rectangular pyramid?A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.
How to find the volume and base's area of a right rectangular pyramid?Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex] is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
Thus, we can express the area of its base in terms of its volume as:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3 = \dfrac{b\times h}{3}\\\\3v = b\times h\\\\\\b = \dfrac{3v}{h} \: \rm unit^2[/tex]
Thus, the expression that represents the area of the base of the pyramid (right pyramid) is given by: Option A: 3v/h unit²
Learn more about right rectangular prism here:
https://brainly.com/question/3712320
Answer:
3V/h units^2
Step-by-step explanation:
A person invests 7000 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 12400 dollars?
I Need help asap!!!!!!!!!!!!!!!!!!
Answer:
The answer of how many cars is 23
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
8 8 8/3 8/3
Answer:
Step-by-step explanation:
If you want to identify the mode of a set of data, which of the following graphical displays is best?
Answer:
Histogram (Please tell me if you disagree, Have a great day:)
helpppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
.... thank you <3
Answer:
39.9
Step-by-step explanation:
Pls give brainlest if correct.
*Answer*:39.9
Reasoning:Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274: Rounding to the nearest hundred is 800 Rounding to the nearest ten is 840 Rounding to the nearest one is 838 Rounding to the nearest tenth is 838.3 Rounding to the nearest hundredth is 838.27
**Helping to solve**:When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be. Look to the next smallest place value, the digit to the right of the place value you're rounding to.
Therefore, the answer is C. 39.9
This has been..~NatLikesAnime
#LearningWithBrainly
Please give brainliest, a thanks, and a 5 start rating if helpful :)
2m · 2n would be the same as _____.
A) 4 mn
B) 2 m + n
C) 2 mn
D) 2 m - n
Answer:
A) 4mn
Step-by-step explanation:
2m × 2n = 4mn
I hope this helps!
Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...
Answer:
5.5
Step-by-step explanation:
13.75 divided by 2.5 = 5.5
what is the difference in the length between the longest meter in the shortest meter
Answer:
1 5/8 inches
Step-by-step explanation:
Hey there!
The question is asking what the difference in the length between the longest meteor and the shortest meteor is.
In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values
we can convert 1 7/8 to 15/8 to make the subtraction more simple
15/8-2/8=13/8 which is 1 5/8
So the difference between the longest and shortest meteor is 1 5/8 inch
Answer: 1 5/8.
Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8. Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem. The work is done below:
1 7/8 - 2/8 = 1 5/8.
Hope this helps! :)
I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!
2Answer:
a. 68%
b. 95%
c. 2.35%
Step-by-step explanation:
empirical rule is the
68–95–99.7 rule
a. 68%
b. 95%
c. 99.7 - 95 = 4.7 then 4.7/2 =
2.35%
Draw the graph of the equation x+5y=6
Answer:
Step-by-step explanation:
Instructions: Given the figure, what is the angle of rotational symmetry?
Answer:
180°
Step-by-step explanation:
The Angle of Rotational Symmetry is the degree of rotation required to make the shape look like the original.
If you rotate it once by 90°, it will look completely different.
However, if you rotate it again by 90°, it looks identical to the original.
90° + 90° = 180°
Ok i promise last question today guys number 24 and 26 pls ur reason for awnsering this correctly is bc ur gonna earn my 50 last points! Thank u hope its clear to read (dont mind my crusty fingers)
What is the slope of the line whose equation is -2y = -4x + 5
Answer:
2
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-2*y-(-4*x+5)=0
STEP 1:
Pulling out like terms
1.1 Pull out like factors :
-2y + 4x - 5 = -1 • (2y - 4x + 5)
Equation at the end of step 1:
STEP 2:
Equation of a Straight Line
2.1 Solve -2y+4x-5 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -2y+4x-5 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000
y-intercept = 5/-2 = -2.50000
Calculate the X-Intercept :
When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000
x-intercept = 5/4 = 1.25000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2
Geometric figure: Straight Line
Slope = 2
x-intercept = 5/4 = 1.25000
y-intercept = 5/-2 = -2.50000
Answer:
2
Step-by-step explanation:
y=mx+b where m is the slope
to get y by itself you divide both sides by -2 resulting in
y= 2x+(-5/2)
2=m
What is the value of x^2+y^2 given the following system?
x+y=10
x-y=8
Answer:
I hope this helps, you can ask any questions for clarification
why is this not working
-2^2
Answer:
-4
Step-by-step explanation:
(-2)^2=4 because a negative number squared is always positive
-(2)^2=-4
please give me complete working and explanation and I will mark you as brainliest!
Answer:
she spent 5,536 more dollars π
Step-by-step explanation:
10,535 - 4,999= 5,536
thats how much more money it cost than the stove.
AABC is equilateral.
AB = 22x-33 and AC = 7x + 57.
=
B
A
A
с
x = [?]
Answer:
Answer is 6
Step-by-step explanation:
See it is equilateral so AB=AC=BC
Now we are given values of AB and AC, but they are equal so,
22x-33 = 7x+5722x-7x = 57+3315x = 90x= 15 / 90x=6Hope it helps
BYE
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
The Answer is 3 1/2 or C
Step-by-step explanation:
2+1=3
1/6+2/6=3/6
3/6 = 1/2
3 + 1/2 = 3 1/2
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST
What is the value of x in the figure?
Enter your answer in the box.
x =
Answer:
29 is the correct answer because subtract 90 from 61 we get 29
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
29°
Step-by-step explanation:
We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.
So, we would have to subtract 61 from 90 to find the missing value.
90 - 61 = 29
Therefore, x equals 29°
-kiniwih426
Making late payments on credit card bills has what kind of effect on a person's credit score?
a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.
Answer:
A. Late payments have a negative effect on a person's credit score.
Step-by-step explanation:
Hope this Helps!
Answer:
A late payments have a negative effect on a persons credit score
Step-by-step explanation:
A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.
Find the area of the shaded region
Answer:
Step-by-step explanation:
Remark
There are many ways you can do this. I think the simplest way is to find the area of the rectangle enclosing the winged shape and take away the area of the three unshaded triangles.
Area of enclosed rectangle
Area = L * w
L = 26 in
w = 15 in
Area = 26 * 15
Area = 390 square inches.
Find the area of the triangle on the right.
Area = 1/2 * b * h
base = 26 inches
height = 15 - 6 = 9
This is a little tricky. What you need to do to get the height of the triangle is realize that it is made from a line that goes from the base of the triangle to its peak. This line is perpendicular to the base. The line you just drew is 15 inches tall, same as the width of the enclosing rectangle.
Substitute values into the formula
Area = 1/2 * 26 * 9
Area = 117 square inches.
Find the area of the top and bottom triangles.
These 2 triangles are the same sort of thing only the base requres a bit of manipulation
height = 15 inches
base = (26 - 14)/2
base = 12/2
base = 6
Again, this requires a little bit of thought. You have 2 bases making up each of the right triangles. To find the sum of both of them, you take 26 and subtract 14 from it. That's where the 12 comes from. Now you divide 2 to get the base of each of the triangles. That gives you 6.
Find the area of one of the triangles.
Area = 1/2 * b * h
Area = 1/2 * 6 * 15
Area = 45 square inches
Find the area of both triangles.
Area of triangles at the top and bottom = 2*45 = 90
Finally find the area of the shaded area.
Area = enclosed rectangle - top triangle and bottom triangle - the triangle on the right.
Area shaded area = 390 - 45 - 45 - 117 = 183
Answer: Area shaded region = 183 square inches.
a. Complete the table.
х
f(x) = 2(2)*
=
-2 -1
0
1
2
1
Answer:
1/2,1,2,4,8 in order
Step-by-step explanation:
Given:
[tex]\displaystyle \large{f(x)=2(2)^x}[/tex]
The function can be simplified to:
[tex]\displaystyle \large{f(x)=2^{x+1}}[/tex] via law of exponent.
Recall:
[tex]\displaystyle \large{a^m\cdot a^n=a^{m+n}}[/tex]
Next, substitute given x-values in:
[tex]\displaystyle \large{f(-2)=2^{-2+1}=2^{-1}=\dfrac{1}{2}}\\\displaystyle \large{f(-1)=2^{-1+1}=2^0=1}\\\displaystyle \large{f(0)=2^{0+1}=2^1=2}\\\displaystyle \large{f(1)=2^{1+1}=2^2=4}\\\displaystyle \lage{f(2)=2^{2+1}=2^3=8}[/tex]
Therefore, the solution is 1/2,1,2,4,8
please help me please
Answer:
its 17
Step-by-step explanation:
do 2 step Equation
